# Lesson 3The Name GameSolidify Understanding

Use rules of exponents to rewrite each of the expressions with only one exponent.

### 8.

Find the missing values in each of the geometric sequences. Then write the explicit equation that describes each function.

### 9.

 $x$ $y$ $1$ $2$ $3$ $5$ $45$

## Set

Based on each of the given representations of a function, determine the following.

1. Is it linear, exponential or neither? (If neither, do not do parts b-d.)

2. If the function is linear or exponential, state whether it is discrete or continuous.

3. Identify the rate of change as a slope (common difference) or a growth factor (common ratio).

4. Write the explicit equation. In problem 15, write the recursive equation.

### 13.

The population of a town, , is and is growing by per year.

### 14.

Joan earns a starting salary of per year and will receive a raise of per year for the first .

### 16.

The number of gifts received each day of “The of Christmas” is a function of the day. (“On the fourth day of Christmas, my true love gave to me: , , , and .”)

Side of a Square

Area of a Square

### 19.

How many solutions are there for the explicit linear equation, ? If all of the solutions for this equation were put in a graph, what figure would they make?

### 20.

What is a good way to represent all solutions for a given explicit equation?

## Go

For each geometric sequence below, find the missing terms in the sequence. Then write an explicit rule for the sequence.

### 21.

 $n$ $y$ $1$ $2$ $3$ $4$ $5$ $2$ $162$

Explicit equation:

### 22.

 $n$ $y$ $1$ $2$ $3$ $4$ $5$ $\frac{1}{9}$ $-3$

Explicit equation:

### 23.

 $n$ $y$ $1$ $2$ $3$ $4$ $5$ $10$ $0.625$

Explicit equation:

### 24.

 $x$ $y$ $1$ $2$ $3$ $4$ $5$ $g$ $g{z}^{4}$

Explicit equation:

Find the rate of change (slope) in each of the problems.